9852505 has 16 divisors (see below), whose sum is σ = 13046544. Its totient is φ = 7096320.

The previous prime is 9852467. The next prime is 9852509. The reversal of 9852505 is 5052589.

9852505 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4963984 + 4888521 = 2228^2 + 2211^2 .

It is not a de Polignac number, because 9852505 - 2¹¹ = 9850457 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9852509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 4513.

It is an arithmetic number, because the mean of its divisors is an integer number (815409).

Almost surely, 2^9852505 is an apocalyptic number.

It is an amenable number.

9852505 is a deficient number, since it is larger than the sum of its proper divisors (3194039).

9852505 is a wasteful number, since it uses less digits than its factorization.

9852505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756.

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 9852505 is about 3138.8700196090. The cubic root of 9852505 is about 214.3789903974.

The spelling of 9852505 in words is "nine million, eight hundred fifty-two thousand, five hundred five".